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Finding the Third Proportional to 300,712.50 and 648,434.25

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Solution

The third proportional to 300,712.50 and 648,434.25 is: 1,398,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,712.50 : 648,434.25 = 648,434.25 : x
  2. Step 2: Convert to fraction form
    300,712.50/648,434.25 = 648,434.25/x
  3. Step 3: Cross multiply
    300,712.50x = 648,434.25 × 648,434.25
  4. Step 4: Simplify right side
    300,712.50x = 420,466,976,573.06
  5. Step 5: Solve for x
    x = 420,466,976,573.06/300,712.50
  6. Step 6: Final answer
    x = 1,398,235.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.